1. The objective of statisticsis best described as:

a) To make inferences about a sample based on information we get from a population

b) To use population mean, m as an estimate of the sample mean,

c) To make inferences about a population based on information we get from a sample taken from the population

d) To make inferences about a sample with a high degree of reliability

2. Construct a frequency distributionof the ages that 25 randomly selected smokers started smoking:

26 26 25 17 16 16 14 17 21 16

16 18 17 15 15 19 16 17 22 15

19 17 16 27 16

3) (2 pts) Half of the numbers in any dataset will be larger than the

A) mean B) mode C) median D) midrange

4. The number that appears most frequently in a data set is the

A) mean B) mode C) median D) midrange

5) One fourth of the scores in any data set are below the

A) first quartile B) second quartile C) third quartile D) fourth quartile

6) Find the mean, median, and modefor the following set of data which shows the number of pages per article in a random sampleof magazine articles.

4 6 4 6 5 4 4 5 7 4 3 6 5 8 4

7) Construct a histogramand a frequency polygon for the following frequency distribution

Miles Number of Commuters

Class Frequency

0 – 24 4

25 – 49 10

50 – 74 11

75 – 99 5

100 -124 1

8. State True or False

a) A collection of all the objects to be studied is a sample

b) A subset or part of the subjects to be studied is a sample

c) In a frequency distribution the class limits must overlap

d) Pie charts are best used to plot numbers over a period of time

e) A frequency distribution should have between 3 and 10 classes

9. In a study of 100 married women with children, the subjects were asked the major reason for working outside the home. The study resulted in the following data:

Reason Number of Responses

To support self/family 62

For extra money 18

For something different to do 12

Other 8

Total 100

Construct a pie chartfor the data and analyze the results.

10. A governor would like to find out how people in his state feel about state subsidized public art. How might a cluster samplebe selected?

11. The following statisticsprovide information about the scores on a national mathematicsexam.

Mean 312 First Quartile 201

Median 296 Third Quartile 423

Mode 326 49th Percentile 307

a) What score did half of the test takers surpass?

b) What was the most common score?

c) What percentage of the test takers scored 201 or better?

d) If Joe had a score of 307, explain the meaning of his score.

This provides examples of questions with data and statistics, including data representation, quartiles, central tendency, and sampling.